Can someone help give me the solution?

Answer:20[tex]m^{2}[/tex]

Step-by-step explanation:

The formula to find the area of a triangle is [tex]\frac{1}{2}[/tex]bh.

b is the base value

h is the value of the height.

1/2b is 5 and 5 times 4 is 20 :)

Answer:

Step-by-step explanation:

10(a)+5(c)=310

a= number of adult

c= number children

Answer:

here's how you will do it hope it helps you-

Answer:

Split the variable by dividing each side by the factors that do not contain the variable.

Dạng chính xác:

x

=

−

3

13

Dạng thập phân:

x

=

−

0.

¯¯¯¯¯¯¯¯¯¯¯¯

230769

By using the concept of maxima of a function, it can be calculated that-

He must spent $8000 to maximize sales

Maximum sales is 1548000 units

What is maxima of a function?

Maxima of a function gives the maximum value of the function within a given domain or within an interval.

Here,

S(x) = [tex]-2x^3 + 12x^2 + 192x + 268[/tex]

S'(x) = [tex]-6x^2+24x+192[/tex]

S'(x) = 0

[tex]-6x^2+24x+192=0\\-6(x^2-4x-32)=0\\x^2-4x-32=0\\x^2-8x+4x-32=0\\x(x-8)+4(x-8)=0\\(x-8)(x+4) = 0\\[/tex]

x - 8 = 0 or x + 4 = 0

x = 8 or x = -4

But x = -4 is not possible

So he must spent $8000 to maximize sales

S''(x) = -12x + 24

S''(8) = -12(8) + 24 = -72<0

Hence sales is maximum

Maximum sales = S(8) = [tex]-2(8)^3+12(8)^2+192(8)+268[/tex]

                                     = 1548

Maximum sales is 1548000 units

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The reason for the similarity of the triangles FGH and JHK is given as follows:

HL.

The similarity theorems are listed as follows:

The similarities between the triangles FGH and JHK are given as follows:

As they are right triangles, the remaining side should also be equal, according to the trigonometric ratios, hence the theorem is the SSS theorem, also called HL theorem.

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Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:The correct anserw is B.

Step-by-step explanation:

The metrics of dispersion are mean deviation and range. While quartile deviation is a measure of dispersion, quartiles themselves are not.

25% from the lowest to the highest number in the first quartile. 25.1% to 50% in the second quartile (till median) Three-quarter range: 51% to 75% (above the median) 25% of the highest values are in the fourth quartile.

When presented in ascending order, the value that 75% of data points fall within is known as the higher quartile, or third quartile (Q3). As the second quartile, the median is used (Q2). The distance between the upper and lower quartiles is known as the interquartile range.

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Using percentage error, the error factor is ± 2.15 inches and the smallest size is 40.85 inches and largest size is 45.15 inches.

Percent error is the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. In other words, the percent error is the relative error multiplied by 100.

The formula of percentage error is given as

P.E = [(actual value - estimated value) / actual value] × 100

Since we know the percentage error and actual value, we can find the difference or actual error by;

5 / 100 = x / 43

0.05 = x / 43

x = 2.15

The increase of decrease in size is by a factor of ± 2.15

The smallest size = 43 - 2.15 = 40.85 in

The largest size = 43 + 2.15 =  45.15 in

The smallest and largest size are 45.15 and 40.85 inches respectively

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Answer: the length of the garden is 35 meters

Step-by-step explanation:

The formula for perimeter is 2W+2L=perimeter

With the given information you can plug in the values and use them to solve for the length, L.

W=20 and p=110 so now plug them in and solve for L

2(20)+2L=110      multiply the 20 by 2

40+2L=110      subtract 40 from both sides

2L=70    divide both sides by 2

L= 35 meters

You can check to see if you got the right answer by plugging the L in and find p.

2(20)+2(35)=40+70=110 by getting 110 it means it is the correct value for L

Answer:

Area: 200.96

Circumference: 50.24

Step-by-step explanation:

Area: π* r²

Circumference: 2* π*r

Answer:

Step-by-step explanation:

y=-10x1 = -10

y intersects at -10 as a horizontal line.

2018 depreciation (year 3) deduction for the machine is $6000 when ABC Corp spent $31,250 on a production machine on January 1, 2019.

Given that,

ABC Corp spent $31,250 on a production machine on January 1, 2019. The corporation is depreciating the equipment using the MACRS accelerated depreciation tables for 5-year property, half-year convention, and has chosen not to exercise Section 179 expensing or to claim bonus depreciation in 2019.

We have to find what is the machine's Year 3 depreciation deduction for 2021.

We know that,

Computation of 2018 depreciation (year 3) deduction for the machine using MACRS accelerated depreciation table for 5 year property.

Name of the asset is production machine

Basis of machine is $31,250

MACRS Percentage from MACRS Percentage Table A-1 by IRS Publication 946 for 5 year property using half year convention for 3rd year is 19.20%

2018 depreciation (year 3) deduction for the machine  is

$31,250×19.20%=$6,000

Therefore, 2018 depreciation (year 3) deduction for the machine is $6000 when ABC Corp spent $31,250 on a production machine on January 1, 2019.

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Step-by-step explanation:

because it is an isoceles triangle (both legs are equally long), also both side angles on the baseline must be equally large.

so, we have

4x + 3 = 2x + 29

4x = 2x + 26

2x = 26

x = 26/2 = 13

41 = 3y + 2

39 = 3y

y = 39/3 = 13

Answer:

the correct answer is 3

hope it is right

The answer to the expression is 3

The value of x in the parallel lines is 102 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angle, linear angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the value of x using the angle relationships.

Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.

Therefore,

x = 102 degrees(alternate exterior angles)

Alternate exterior angles are congruent.

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The algebraic expression for the statement, "16 more than the product of 43y", is : 43y + y.

An algebraic expression can be described as an expression that consists of terms and algebraic operations.

The terms could be variables and constants, while the algebraic operations could be addition, subtraction, multiplication, or division.

For example,  3x² − 2xy + 5 is an algebraic expression that consists of three terms.

To write an algebraic expression for the statement given above, we have the following:

The variable that represents the unknown number is y.

Product means multiplication.

The product of 43 and a is: 43 × y = 43y.

Therefore, "16 more than the product of 43y" would be translated as: 43y + y.

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The order of the number from greatest to least is option (B) 78/9 , [tex]\sqrt{45}[/tex]  , [tex]\sqrt[3]{97}[/tex]

The given numbers are

[tex]\sqrt[3]{97}[/tex], 78/9 and [tex]\sqrt{45}[/tex]

To find the descending order of the numbers, first we have to convert the numbers to a single form

The first number = [tex]\sqrt[3]{97}[/tex]

Convert the cube root of the 97 to the decimal form

[tex]\sqrt[3]{97}[/tex] = 4.59

The second number = 78/9

Convert the simple fraction to the decimal form

78/9 = 8.67

The third number = [tex]\sqrt{45}[/tex]

Convert the root of 45 to the decimal form

[tex]\sqrt{45}[/tex] = 6.70

Compare the numbers in decimal form and write in descending  order

78/9 > [tex]\sqrt{45}[/tex]  > [tex]\sqrt[3]{97}[/tex]

Therefore, the descending order is 78/9 , [tex]\sqrt{45}[/tex]  , [tex]\sqrt[3]{97}[/tex]

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The compositions of the functions are given as follows:

The domain and the range of the functions are given as follows:

The representation of the composite function is that the output of the inner function works as the input to the outer function, as follows:

(f ∘ g)(x) = f(g(x)).

Hence, at x = 0, the composite function is given as follows:

(f ∘ g)(0) = f(g(0)) = f(1) = 0.

At x = 1, the composite function is given as follows:

(g ∘ f)(0) = g(f(0)) = g(1) = -2.

The definitions of the domain and of the range of a function are given as follows:

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Answer:

The y-intercept of the table shown is (0, 1).

The y-intercept of the parabola can be found by verifying if any coordinates from the table has x = 0 and y = some specific value. If there is a coordinate point such that the value of both is x = 0 and y = any value, then the value of y is the y-intercept of the parabola. Further explained in example:

Example: if a line passes through a coordinate point (0, 4), the y-intercept for that line is four because the value of x is 0 and y is 4.

Solving the Problem/Question (Applying the method stated above):

From the table, we can tell that the parabola passes through the following coordinate points: (-2, -11); (-1, -4); (0, 1); (1, 4); (2, 5); (3, 4); (4, 1).

From all the coordinates, we find that (0, 1) has the value of x as 0 and the value of y as 1. Therefore, this coordinate point (0, 1) is the y-intercept.

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The amount of paycheck of Salesperson 1 and Salesperson 2 is $770 and $905 respectively.

What is Percentage?

The percentage is one of the most used methods to portray statistics. Percentage simply means "per hundred," and the sign for percentage is%. One percent (or 1%) is one hundredth of a total or whole number and is computed by dividing the whole or entire number by 100.

Solution:

Given: Paycheck of Salesperson 1 = 85% of Salesperson 2

Let, Paycheck of Salesperson 2 = x

So, paycheck of Salesperson 1 = 85/100 x

According to the question,

85/100 x + x = 1675

185/100x = 1675

x = 167500 / 185

x = 905.4$ = 905$

Salesperson 1 = 770$

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Answer:

Step-by-step explanation:

(19/3)+(7/2)

(11/2)+(13/3)

=> 6.33 + 3.5   /   5.5 + 4.33  = 1

When two lines intersect with each other then point of intersection formed by two intersecting lines create V in an absolute value graph is known as Vertex.

As given in the question,

Given : Two lines intersect with each other .

Therefore, point of intersection of two lines created V shape on the graph is called vertex.

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Part (a)

The compound interest formula is

A = P*(1+r/n)^(n*t)

where,

For option 1, we have these values:

Plug them into the formula to get:

A = P*(1+r/n)^(n*t)

A = 4000*(1+0.018/4)^(4*3)

A = 4221.4270078004

A = 4221.43

The account balance after three years is $4221.43

Then subtract off the deposit to find the interest made.

i = A - P

i = 4221.43 - 4000

i = 221.43

Answer: Option 1 pays $221.43 in interest.

====================================================

Part (b)

If n heads to infinity, then the compound interest formula is replaced with the continuously compounded interest formula.

That formula is

A = P*e^(r*t)

where the new item 'e' is a special constant.

e = 2.718...

It's similar to how pi = 3.14...

Most calculators have an "e" button, so it's best to let the calculator handle the decimal digits of "e".

For option 2, we have:

So,

A = P*e^(r*t)

A = 4000*e^(0.015*3)

A = 4184.11143963493

A = 4184.11

and,

i = A - P

i = 4184.11 - 4000

i = 184.11

Answer: Option 2 pays $184.11 in interest.

Option 1 is the better choice.

Answer:

-3

Step-by-step explanation

x^3+(5x+y)2

-1^3=-1

-1 x -1 x -1 = -1

(5x+y)2

(5(-1)+(4)2

(-5+(4))2

(-1)2 = -2

Bring -1 down from -1^3

-1-2=-3

You answer is -3

The amount of milk remaining after the milk is sold to the customer and hotel is 18 liters.

Given is that a milkman had 31 liters of milk in the can. He sold 11 liters to a customer and 2 liters to a hotel.

Assume that the remaining milk in the container is denoted by [x]. Then, we can write -

[x] = Total milk - {milk sold to customer + milk sold to can}

[x] = 31 - {11 + 2}

[x] = 31 - 13

[x] = 18

Therefore, the amount of milk remaining in the can is 18 liters.

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Answer:

$7.25.

Step-by-step explanation:

To find the cost of Wilson's bus ticket, we first need to determine how many additional miles he traveled beyond the first 10 miles. Since the ticket price was $0.50 per 1/2 mile, we can divide the number of additional miles by 0.5 to find the number of additional 1/2 miles. For example, if Wilson traveled 12 miles, he would have traveled 2 miles beyond the first 10 miles. Dividing 2 by 0.5, we get 4, so he would have traveled an additional 4 1/2 miles.

Once we know the number of additional 1/2 miles, we can multiply that number by the ticket price per 1/2 mile to find the cost of the additional portion of the ticket. For example, if the ticket price was $0.50 per 1/2 mile and Wilson traveled an additional 4 1/2 miles, the cost of the additional portion of the ticket would be 4.5 * $0.50 = $2.25.

Finally, we can add the cost of the initial portion of the ticket, which was $5.00 for the first 10 miles, to the cost of the additional portion to find the total cost of the ticket. For example, if the initial portion of the ticket was $5.00 and the additional portion was $2.25, the total cost of the ticket would be $5.00 + $2.25 = $7.25.

In conclusion, to find the cost of Wilson's bus ticket, we need to divide the number of additional miles he traveled beyond the first 10 miles by 0.5 to find the number of additional 1/2 miles, multiply that number by the ticket price per 1/2 mile to find the cost of the additional portion of the ticket, and then add that amount to the cost of the initial portion of the ticket to find the total cost.

Answer:$11.00

Explanation:22-2=20

20÷5=4

4÷2=2

2×$5.00=$10

additional 2 miles

2×$0.50=$1

so

$10+$1=$11.00

The equation that represents the graph that gives the number of servings, y, in x pints of frozen yogurt is: y = 3x.

A proportional relationship graph is a straight line graph that passes through the point of origin, (0, 0), which has an equation that can be expressed in the slope-intercept form as y = kx.

"k" is the constant of proportionality, which is the ratio of y to x. k = y/x.

Given the graph above, we need to find the constant of proportionality, k. To do this, use the coordinates of one point on the graph, say (1, 3):

Constant of proportionality, k = y/x = 3/1

k = 3

To write the equation that gives the number of servings, y, in x pints of frozen yogurt, substitute k = 3 into y = kx:

y = 3x

The equation is: y = 3x.

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